Question

Mr. Ramkumar has a beautiful rectangular garden and a swimming pool (in the form

of a cuboid) in his luxurious bungalow. The area of the garden is x2+2x-15. [4]

(i) What are the dimensions of the garden ?

a) (X-5) and (X+3)

c) (X+5) and (x-3)

b) (X+5) and (X+3)

d) (X-5) and (X-3)​

Answer 1

Given,

The area of garden = x²+2x-15

To Find,

The dimensions of the garden

Solution,

Since the garden is in the form of a rectangle and the area of rectangle = l*b

So, to find the dimensions of the garden we need to factorize the given equation.

x²+2x-15 = (x+5)(x-3)

Hence, option c (x+5) and (x-3) is the correct answer.